{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "099afc07-5dbb-4c06-9b4a-ae5b6e7825fb",
   "metadata": {},
   "source": [
    "# 5. 梯度下降算法\n",
    "\n",
    "- 迭代法求极值\n",
    "- 梯度下降法"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1f20875-c50d-46df-906b-49ec1d0c6002",
   "metadata": {},
   "source": [
    "# 5.1 使用迭代法求解极小值"
   ]
  },
  {
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    }
   },
   "cell_type": "markdown",
   "id": "c90a18b9-d8e8-431c-856c-35f1e4ed05e1",
   "metadata": {},
   "source": [
    "### 1.任务描述\n",
    "\n",
    "假设一元凸函数的方程为$f(x)=x^2+2$，曲线如图5-1-1所示。\n",
    "\n",
    "![image.png](attachment:b93ee152-4d46-462f-8e21-1c58b5487adb.png)\n",
    "\n",
    "要求：\n",
    "\n",
    "- 利用迭代法求方程的极小值，迭代次数取16，步长取0.2。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "8d7baa9c-93a2-42f3-a3c1-231cdb587f2d",
   "metadata": {},
   "source": [
    "### 2.知识准备\n",
    "\n",
    "见教程。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b77a80eb-a596-4410-8b1f-5322e1d141a3",
   "metadata": {},
   "source": [
    "### 3.任务分析\n",
    "\n"
   ]
  },
  {
   "attachments": {
    "1e553860-4d1c-44d8-8602-5efffa3d41cb.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "de0514a5-6568-421e-afe4-f38d5dc6f93f",
   "metadata": {},
   "source": [
    "在函数曲线上选取任意一点$x_0=3$作为初值，步长为0.2，迭代16次，具体求解过程如下。\n",
    "\n",
    "先从x0=3开始，有f(3)=11，x可能分别向两个方向移动，若取步长为0.2，则x1可取3.2或2.8，对比f(3.2)=12.24和f(2.8)=9.84，由于f(2.8)<f(3)=11，所以应该取x1=2.8；再以 x1=2.8 为起点，步长为0.2，x2可取3或2.6，对比f(3)=11和f(2.6)=8.76，由于f(2.6)<f(2.8)=9.84，所以取x2=2.6。再以x2=2.6为起点，继续寻找更小的函数值，表5-1-1展示了迭代过程。\n",
    "\n",
    "表5-1-1  迭代过程（步长=0.2）\n",
    "\n",
    "![image.png](attachment:1e553860-4d1c-44d8-8602-5efffa3d41cb.png)\n",
    "\n",
    "可以看到，当x=0时，f(0)=2，此时，不论往哪个方向移动，函数值都不小于2，所以当x=0时，函数得到极小值，此时迭代结束。"
   ]
  },
  {
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   "metadata": {},
   "source": [
    "### 4.任务实施\n"
   ]
  },
  {
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   "cell_type": "markdown",
   "id": "ec75eb6c-5da3-467d-a471-ca3b47242dd6",
   "metadata": {},
   "source": [
    "执行代码"
   ]
  },
  {
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   "execution_count": 1,
   "id": "2ae9da58-e339-4d22-9f8d-ca255711d89e",
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "第 0 轮: x: 3.00 ,y: 11.00 ,x1: 2.80 ,y1: 9.84 ,x2: 3.20 ,y2: 12.24\n",
      "本轮调整后的x: 2.80 函数值y: 9.84\n",
      "第 1 轮: x: 2.80 ,y: 9.84 ,x1: 2.60 ,y1: 8.76 ,x2: 3.00 ,y2: 11.00\n",
      "本轮调整后的x: 2.60 函数值y: 8.76\n",
      "第 2 轮: x: 2.60 ,y: 8.76 ,x1: 2.40 ,y1: 7.76 ,x2: 2.80 ,y2: 9.84\n",
      "本轮调整后的x: 2.40 函数值y: 7.76\n",
      "第 3 轮: x: 2.40 ,y: 7.76 ,x1: 2.20 ,y1: 6.84 ,x2: 2.60 ,y2: 8.76\n",
      "本轮调整后的x: 2.20 函数值y: 6.84\n",
      "第 4 轮: x: 2.20 ,y: 6.84 ,x1: 2.00 ,y1: 6.00 ,x2: 2.40 ,y2: 7.76\n",
      "本轮调整后的x: 2.00 函数值y: 6.00\n",
      "第 5 轮: x: 2.00 ,y: 6.00 ,x1: 1.80 ,y1: 5.24 ,x2: 2.20 ,y2: 6.84\n",
      "本轮调整后的x: 1.80 函数值y: 5.24\n",
      "第 6 轮: x: 1.80 ,y: 5.24 ,x1: 1.60 ,y1: 4.56 ,x2: 2.00 ,y2: 6.00\n",
      "本轮调整后的x: 1.60 函数值y: 4.56\n",
      "第 7 轮: x: 1.60 ,y: 4.56 ,x1: 1.40 ,y1: 3.96 ,x2: 1.80 ,y2: 5.24\n",
      "本轮调整后的x: 1.40 函数值y: 3.96\n",
      "第 8 轮: x: 1.40 ,y: 3.96 ,x1: 1.20 ,y1: 3.44 ,x2: 1.60 ,y2: 4.56\n",
      "本轮调整后的x: 1.20 函数值y: 3.44\n",
      "第 9 轮: x: 1.20 ,y: 3.44 ,x1: 1.00 ,y1: 3.00 ,x2: 1.40 ,y2: 3.96\n",
      "本轮调整后的x: 1.00 函数值y: 3.00\n",
      "第 10 轮: x: 1.00 ,y: 3.00 ,x1: 0.80 ,y1: 2.64 ,x2: 1.20 ,y2: 3.44\n",
      "本轮调整后的x: 0.80 函数值y: 2.64\n",
      "第 11 轮: x: 0.80 ,y: 2.64 ,x1: 0.60 ,y1: 2.36 ,x2: 1.00 ,y2: 3.00\n",
      "本轮调整后的x: 0.60 函数值y: 2.36\n",
      "第 12 轮: x: 0.60 ,y: 2.36 ,x1: 0.40 ,y1: 2.16 ,x2: 0.80 ,y2: 2.64\n",
      "本轮调整后的x: 0.40 函数值y: 2.16\n",
      "第 13 轮: x: 0.40 ,y: 2.16 ,x1: 0.20 ,y1: 2.04 ,x2: 0.60 ,y2: 2.36\n",
      "本轮调整后的x: 0.20 函数值y: 2.04\n",
      "第 14 轮: x: 0.20 ,y: 2.04 ,x1: -0.00 ,y1: 2.00 ,x2: 0.40 ,y2: 2.16\n",
      "本轮调整后的x: -0.00 函数值y: 2.00\n",
      "第 15 轮: x: -0.00 ,y: 2.00 ,x1: -0.20 ,y1: 2.04 ,x2: 0.20 ,y2: 2.04\n",
      "本轮调整后的x: -0.00 函数值y: 2.00\n"
     ]
    }
   ],
   "source": [
    "# 迭代次数\n",
    "iter=16\n",
    "# x的初始值\n",
    "x=3\n",
    "# 步长\n",
    "step=0.2\n",
    "for i in range(0,iter):\n",
    "#     y的当前值\n",
    "    y=x**2+2\n",
    "#     向左调整\n",
    "    x1=x-step\n",
    "    y1=x1**2+2\n",
    "#     向右调整\n",
    "    x2=x+step    \n",
    "    y2=x2**2+2\n",
    "    print('第',i,'轮:','x:','%.2f'%x,',y:','%.2f'%y,',x1:','%.2f'%x1,',y1:','%.2f'%y1,',x2:','%.2f'%x2,',y2:','%.2f'%y2)\n",
    "#     更新x0\n",
    "    if y1 < y:\n",
    "        x = x1\n",
    "    if y2 < y:\n",
    "        x = x2\n",
    "    y=x**2 + 2    \n",
    "    print('本轮调整后的x:','%.2f'%x,'函数值y:','%.2f'%y)"
   ]
  },
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   "id": "aaabdea4-fad9-4e5a-808b-675de7f73498",
   "metadata": {},
   "outputs": [],
   "source": []
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